Question

Write the function of the graph

Answer 1

The answer is c.

You can find the solution to the problem without even doing any work! The y intercept is the first number in the equation. Your function crosses the y axis at (2,0). Option c is the only option that lists the y intercept as 2. Therefore, it’s your answer.

Answer 2

Answer:

y = 4[2]^x

Step-by-step explanation:

One possible model for this function is the exponential y = a(b)^(kx).  Notice that if x = 0, y = a, and so, from the graph, we see that a = 4.

Then we have the exponential y = 4(b)^(kx).  Substitute 8 for y and 1 for x:

8 = 4(b)^(k), or 2 = b^k.

Then y = a(b)^(kx) becomes y = 4(b)^(kx) = 4[b^k]^x = 4[2]^x = y

The desired function is y = 4[2]^x.

Check this out.  Does the point (0, 4) satisfy this function?

Is 4 = 4[2]^0 true?  YES, it is.

Is 8 = 4[2]^1 true?  Is 8 = 4(2) true?  YES, it is